The choice of a measure for structure depends on what is to be conveyed
to a particular audience. The algorithm will try to do its
best to fit the empirical distances into the space of the
permissible target locations of the model which is described by
.

There is a large number of centrality concepts readily available,
which describe with statistics what people intuitively look for when
they visually inspect graphical representations of network data.

A simple concept is Freeman's degree of centrality, based on
the rows of the adjacency matrix. His concept of closeness,
which evaluates centrality on the basis of the matrix of geodesics,
is more informative, additionally taking the shortest indirect
distances into account (Freeman (1979)).

Regarding measures of centrality there is a particularly intense
discussion of how these indices relate to the concept 'social power',
and there exist advanced formal concepts how to approach this
theoretical problem methodologically. (Bonnacich (1987) or Friedkin
(1991)).